SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model

Abstract

We derive a continuum theory for the phase transition in a classical dimer model on the cubic lattice, observed in recent Monte Carlo simulations. Our derivation relies on the mapping from a three-dimensional classical problem to a two-dimensional quantum problem, by which the dimer model is related to a model of hard-core bosons on the kagome lattice. The dimer-ordering transition becomes a superfluid-Mott insulator quantum phase transition at fractional filling, described by an SU(2)-invariant continuum theory.

4+ pages, 1 figure

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Cited by in corpus (30)

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• Abelian Higgs model at four loops, fixed-point collision and deconfined criticality
• Coulomb gas transitions in three-dimensional classical dimer models
• Nematic, vector-multipole, and plateau-liquid states in the classical O(3) pyrochlore antiferromagnet with biquadratic interactions in applied magnetic field
• Emergence and spontaneous breaking of approximate O(4) symmetry at a weakly first-order deconfined phase transition
• Transitions to valence-bond solid order in a honeycomb lattice antiferromagnet
• Extended quantum U(1)-liquid phase in a three-dimensional quantum dimer model
• Phase diagram of an extended classical dimer model
• Emergent SO(5) symmetry at the columnar ordering transition in the classical cubic dimer model
• Unconventional Quantum Critical Points
• Scaling dimensions of higher-charge monopoles at deconfined critical points
• Higgs transitions of spin ice
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Critical behavior in the cubic dimer model at nonzero monomer density
• Monopole holes in a partially ordered spin liquid
• Statistical physics through the lens of real-space mutual information
• First- order versus unconventional phase transitions in three-dimensional dimer models
• Confinement of monopoles and scaling theory near unconventional critical points
• Renormalization, duality, and phase transitions in two- and three-dimensional quantum dimer models
• Ferromagnetic Coulomb phase in classical spin ice
• First order phase transitions in the square lattice "easy-plane" J-Q model
• Universal monopole scaling near transitions from the Coulomb phase
• Synchronization transition in the double dimer model on the cubic lattice
• Tunable critical correlations in kagome ice
• Conventional description of Unconventional Coulomb-Crystal phase transitions in three-dimensional classical O(N) spin-ice
• Classical fully-packed loop model with attractive interactions on the square lattice
• Short-time critical dynamics in the classical cubic dimer model
• Deconfined pseudocriticality in a model spin-1 quantum antiferromagnet